In some cases, the following format can be applied to the verbs listed above:

1. Format: object + infinitive

Examples:
I need you to babysit today.
Fiona expects her puppy to obey.
The people want the government to be honest.

2. Format: verb + for + object + infinitive

Examples:
I arranged for her to take taekwondo lessons.
I set up for them to meet in person.
Dan asked for me to attend the meeting today.

Note:
Some verbs can be followed either by an infinitive or -ing form.
But there are some verbs where it's not possible to use infinitives. Use the -ing form, instead. (e.g. I enjoy eating out with friends.)